3x 2. Suppose you have the functions f(x)= and g(x)= vx2-x- 63. 6-x (a) What is the domain of f? g(10) f(-2) (c) For what input(s) x is g(x) 3? (b) Simplify: vie 3. Suppose you knew that x 3 was a factor of x-7x + 6. What then is the domain of the function 14 2x f(x)= ? x-7x+6 3 S oni .7 sd aogb bobada ody 180OP 4. Simplify each of the following. no 8 3 32 -32 (а) (b)-14xy12.4x2y22-7 3 y z 4x у Z 3 32-32 (0) 5. Suppose f(x)= Vx +c -x. If f(7)=c -6, find the possible values for c. CF2 6. Suppose f is the function given by f(x)=3V1-x + 2x. If f(a)- a+ 1, find the possible values for a . 7. Suppose f is the function given by f(x)= Vx +11 V/4x-19 (a) What is the domain of f? (b) For what input(s) x is f(x)-2 ?

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.

For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. f(x)=4x3+4